Mathematics Curriculum Framework
November 2000

Learning Standards

Number Sense and Operations
for Grades 9-10

cross symbolUnderstand numbers, ways of representing numbers, relationships among numbers, and number systems
solid circle symbolUnderstand meanings of operations and how they relate to one another
solid triangle symbolCompute fluently and make reasonable estimates

Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
10.N.1Identify and use the properties of operations on real numbers, including the associative, commutative, and distributive properties; the existence of the identity and inverse elements for addition and multiplication; the existence of nth roots of positive real numbers for any positive integer n; and the inverse relationship between taking the nth root of and the nth power of a positive real number.
10.N.2Simplify numerical expressions, including those involving positive integer exponents or the absolute value, e.g., 3(24 - 1) = 45, 4|3 - 5| + 6 = 14; apply such simplifications in the solution of problems.
10.N.3Find the approximate value for solutions to problems involving square roots and cube roots without the use of a calculator, e.g., An equation: The square root of 3 squared minus 1 is similar to 2.8..
10.N.4Use estimation to judge the reasonableness of results of computations and of solutions to problems involving real numbers.

Exploratory Concepts and Skills
for Grades 9-10 and Single-Subject Courses

  • Analyze relationships among the various subsets of the real numbers (whole numbers, integers, rationals, and irrationals).
  • Explore higher powers and roots using technology.
  • Explore the system of complex numbers and find complex roots of quadratic equations.
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